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Finding the Fourth Proportional to 2,553.37, 3,829.83 and 1,321.82

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Solution

The fourth proportional to 2,553.37, 3,829.83 and 1,321.82 is: 1,982.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.37 : 3,829.83 = 1,321.82 : x
  2. Step 2: Convert to fraction form
    2,553.37/3,829.83 = 1,321.82/x
  3. Step 3: Cross multiply
    2,553.37x = 3,829.83 × 1,321.82
  4. Step 4: Simplify right side
    2,553.37x = 5,062,343.58
  5. Step 5: Solve for x
    x = 5,062,343.58/2,553.37
  6. Step 6: Final answer
    x = 1,982.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.